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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 137904.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137904.l1 | 137904bf1 | \([0, -1, 0, -901, 16249]\) | \(-65536/51\) | \(-63018818304\) | \([]\) | \(98496\) | \(0.77093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137904.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 137904.l do not have complex multiplication.Modular form 137904.2.a.l
sage: E.q_eigenform(10)